Question: Either one of two cables can fully feed an important node in a power distribution network. Assume that the failure times of the cables are

Either one of two cables can fully feed an important node

Either one of two cables can fully feed an important node in a power distribution network. Assume that the failure times of the cables are exponential random variables with hazard rates of 0.1year-1 and 0.2year-, respectively. (1) What are the MTTFs of the cables? (6 pts) (2) Consider two maintenance strategies: . Once a cable fails, a maintenance intervention (repair) is immediately performed, and during the maintenance the power distribution is interrupted. . Consider a potential risk that the unbroken cable can fail during the repair of the failed one, repair action is immediately taken when both cables are broken. Consider a cost of 10000 $ for the repair of one cable, and the economic loss of 30000 $ due to power interruption, please estimate the costs on average per year for the two maintenance strategies, respectively. (7 pts*2) Either one of two cables can fully feed an important node in a power distribution network. Assume that the failure times of the cables are exponential random variables with hazard rates of 0.1year-1 and 0.2year-, respectively. (1) What are the MTTFs of the cables? (6 pts) (2) Consider two maintenance strategies: . Once a cable fails, a maintenance intervention (repair) is immediately performed, and during the maintenance the power distribution is interrupted. . Consider a potential risk that the unbroken cable can fail during the repair of the failed one, repair action is immediately taken when both cables are broken. Consider a cost of 10000 $ for the repair of one cable, and the economic loss of 30000 $ due to power interruption, please estimate the costs on average per year for the two maintenance strategies, respectively. (7 pts*2)

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